18264453120 has 312 divisors, whose sum is σ = 63756909216. Its totient is φ = 4836163584.

The previous prime is 18264453113. The next prime is 18264453121. The reversal of 18264453120 is 2135446281.

It is a happy number.

18264453120 is a `hidden beast` number, since 1 + 8 + 2 + 644 + 5 + 3 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18264453121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36310789 + ... + 36311291.

It is an arithmetic number, because the mean of its divisors is an integer number (204349068).

Almost surely, 2^18264453120 is an apocalyptic number.

18264453120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18264453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31878454608).

18264453120 is an abundant number, since it is smaller than the sum of its proper divisors (45492456096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18264453120 is a wasteful number, since it uses less digits than its factorization.

18264453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 18264453120 in words is "eighteen billion, two hundred sixty-four million, four hundred fifty-three thousand, one hundred twenty".